Answer: -2
Step-by-step explanation:
Let x = inches of snow reidville gets
12x = inches of snow greenboro gets
x + 12x = 65
13x = 65
x = 5
Reidville gets 5 inches of snow.
<h3>
Answer: 120 square cm</h3>
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Work Shown:
Let,
- A = area of unshaded rectangle (the 6 by 10 rectangle)
- B = area of the unshaded triangle (that has the "8 cm" inside it)
- C = area of parallelogram
- D = shaded area = C - (A+B) = C - A - B
We can see that A = 60 since the rectangle has base 10 and height 6, so 10*6 = 60.
The upper horizontal part of the parallelogram is 10+8 = 18 cm long. This means the bottom horizontal part of the parallelogram is the same length. The bottom portion shows 9 cm until we reach the triangle. This means that 18-9 = 9 cm is the base of the unshaded triangle (that has the "8 cm" inside it).
That triangle has area of 0.5*base*height = 0.5*9*8 = 36 square cm. So B = 36
The parallelogram has base 18 cm and height 12 cm, so it has area of 18*12 = 216. This means C = 216
We can then finally compute the value of D
D = C - A - B
D = 216 - 60 - 36
D = 120 square cm
Answer:
y=1/2x+5/2
Step-by-step explanation:
expand the point-slope form and rearrange to y=mx+b
y-3=1/2(x-1)
y-3=1/2x-1/2
y=1/2x+5/2
Answer:
y=4x+23
Step-by-step explanation:
<u>Convert given equation into slope-intercept form:</u>
12x-3y=10
4x-y=10/3
-y=10/3-4x
y=-10/3+4x
y=4x-10/3
Because the new equation must be parallel to the old equation, the slope stays the same, but the y-intercept changes based on the point that the new equation should pass through:
y=4x+b
3=4(-5)+b
3=-20+b
23=b
This means the slope-intercept form of the equation of the line that passes through (-5,3) and is parallel to 12x-3y=10 is y=4x+23
